 | Thomas Squire Barrett - 1871 - Počet stránok 250
...cannot but be ' true ; as that 1 9 and 1 1 are 30 ; — Exam, of Antitheos, part i. §§ 64 — 65. ' that parallelograms upon the same ' base and between...it happens (contingit) are true ; but ' which, for anything which we can ' see, might have been otherwise.' — WHEWELL.* NOTE XIX. (Referred to in §... | |
 | Thomas Squire Barrett - 1871 - Počet stránok 252
...cannot but be ' true ; as that 1 9 and 1 1 are 30 ; — Exam, of Antitheos, part i. §§ 64 — 65. ' that parallelograms upon the same ' base and between...' equal. The latter are truths which ' it happens (contingii) are true ; but ' which, for anything which we can ' see, might have been otherwise.' —... | |
 | Edward Wyndham Tarn - 1871 - Počet stránok 244
...or by help of a bent lath passing through all the points. This method is derived from the principle that all the angles in the same segment of a circle are equal ; for the angles ADB, APB, AQB, are all equal. The entasis or curved outline of the shaft of a column... | |
 | Henry William Watson - 1871 - Počet stránok 320
...and EDF be equal angles then the areas of the sectors BAC and EDF will be also equal. PROPOSITION 4. Parallelograms upon the same base and between the same parallels are equal to one another in area. Fig, n. Fig. 12. C ED.FCDEP Let the two parallelograms CABD and EABF be upon... | |
 | Thomas Squire Barrett - 1872 - Počet stránok 258
...con' tingent truths. The former kind ' are truths which cannot but be ' true ; as that 19 and 1 1 are 30 ; — ' that parallelograms upon the same ' base...it happens (contingit) are true ; but ' which, for anything which we can ' see, might have been otherwise.' — WHEWELL.'" NOTE XIX. (Referred to in §... | |
 | Thomas Squire Barrett - 1872 - Počet stránok 254
...The former kind ' are truths which cannot but be ' true ; as that 1 9 and 1 1 are 30 ; — NOTE XIX. that parallelograms upon the same base and between...which it happens (contingit) are true ; but which, for anything which we can see, might have been otherwise.' — WHEWELL."* NOTE XIX. (Referred to in §... | |
 | Euclid, Charles Peter Mason - 1872 - Počet stránok 216
...extremities of equal and parallel straight lines are themselves equal and parallel. (Prop. XXXIII.) 3. That parallelograms upon the same base and between the same parallels are equal. (Prop. XXXV.) 4. That things that are equal to the same are equal to each other. (Ax. I.) Let ABCD... | |
 | Henry Angel - 1873 - Počet stránok 192
...Isosceles Triangle—base 1", the vertical angle to contain 40°. This problem depends upon the principle that "all the angles in the same segment of a circle are equal." (Euclid, Bk. III., Def. 21). Thus the angles ADB, AEB, in the segment ACB (Fig. 35 a), are equal. The... | |
 | Philip Kelland - 1873 - Počet stránok 248
...Ex. 1, Art. 7, DA=a-ß; and, changing all the signs, we get (20) for the corresponding lines, Ex. 4. Parallelograms upon the same base and between the same parallels are equal. It is necessary to remind the reader of what we have already stated, that examples such as this are... | |
 | Edward Atkins - 1874 - Počet stránok 426
...parallelogram ABCD into two equal parts. Therefore, the opposite sides, <fec. QED Proposition 35. — Theorem. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms A BCD, EBCF be on the same base BC, and between the same parallels... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
